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An open-tube mercury manometer is used to measure the pressure in a gas tank. When...

Physics
JAMB 2023

An open-tube mercury manometer is used to measure the pressure in a gas tank. When the atmospheric pressure is 101,325 \(P_a\), what is the absolute pressure in \(P_a\) in the tank if the height of the mercury in the open tube is 25 cm higher. density of mercury = \(13600kg/m^3, g = 9.8m/s^2\)

  • A. 108,986 Pa
  • B. 165,238 Pa
  • C. 122,364 Pa
  • D. 134,645 Pa
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Correct Answer: Option D
Explanation

density (ρ) = 13600 \(kgm^{-3}\); g =\(9.8 ms^{-2}\)

\(P_{atm}\) =101,325 Pa;  ρ=13600 \(kgm^{-3}\)


Pabs=\(P_{atm}\)+ρgh


⇒Pabs=101,325+13600 x 9.8 x 0.25
 

⇒Pabs=101,325+33320

⇒ Pabs=134,645Pa

There is an explanation video available below.


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Explanation Video

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